A rectangular prism has a length of 8 1/2 inches , a width of 5 1/2 inches, and a height of 2 inches
Answers
Related Questions
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 246.8 and a standard deviation of 67.2. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0? b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
Answers
Answer:
a. 68%
b. 99.7%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 246.8
Standard deviation = 67.2
a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0?
By the Empirical Rule, approximately 68%.
b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
45.2 = 246.8 - 3*67.2
448.4 = 246.8 + 3*67.2
Within 3 standard deviations of the mean, so approximately 99.7%.
f(x)= (〖2x〗^2-3x)/(x+6 ) asymptote
Answers
Answer:Hope this can help you
Step-by-step explanation:
HELPPPPPPPPPP ME PLSS
Answers
Answer:
The first one-in green. 6x4=24, and there are four parts.
Step-by-step explanation:
which one shows a line with a slop of 2
Answers
The graph with the slope of 2 is the second graph.
How to find the slope of a line?The slope of a line is a measure of its steepness. The slope of a line is the change in dependent variable with respect to the change in the independent variable.
Therefore, let's find the slope of the graph to know the one with the slope of 2.
Hence,
slope = y₂ - y₁ / x₂ - x₁
Using the second graph,
(-1, -1)(0, 1)
slope = 1 + 1 / 0 + 1
slope = 2 / 1
slope = 2
Therefore, the graph with slope of 2 is the second graph.
learn more on slope here: https://brainly.com/question/28030738
#SPJ1
Given the set S = {a, b, c, d}, answer the following.
(a) How many one-element subsets does S have?
(b) How many two-element subsets does S have?
(c) How many three-element subsets does S have?
(d) How many four-element subsets does S have?
(e) How many zero-element subsets does S have?
(f) How many subsets does S have?
(g) If
n(S) = k,
how many subsets will S have?
Answers
Answer:
Step-by-step explanation:
Sam needs to fill a cylindrical container with punch. The container has
a radius of 11 inches and a height of 18 inches. How much punch can
Sam fit into the container?
Answers
Volume of the cylinder = 6838.92 cubic inches
We have to given that;
Sam needs to fill a cylindrical container with punch.
And, The container has a radius of 11 inches and a height of 18 inches.
Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.
Volume of a cylinder = πr²h
Where,
r=radius
h= height
Then,
π=22/7 or 3.14 (constant value)
r=11 inches
h=18 inches
Volume of a cylinder is,
= 3.14 × (11)² × 18
= 6838.92 cubic inches
Hence, Volume of the cylinder = 6838.92 cubic inches
To learn more about the volume visit:
brainly.com/question/24372707
#SPJ1
Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x − 3 = 0. (Round your answer to four decimal places.) x2 =?
Answers
Answer:
\(x_{2} = 0.0000\)
Step-by-step explanation:
The formula for the Newton's method is:
\(x_{i+1} = x_{i} + \frac{f(x_{i})}{f'(x_{i})}\)
Where \(f' (x_{i})\) is the first derivative of the function evaluated in \(x_{i}\).
\(x_{i+1} = x_{i} + \frac{x_{i}^{4}-x_{i}-3}{4\cdot x_{i}^{3}-1}\)
Lastly, the value of \(x_{2}\) is determined by replacing \(x_{1}\) with its numerical value:
\(x_{2} = x_{1} + \frac{x_{1}^{4}-x_{1}-3}{4\cdot x_{1}^{3}-1}\)
\(x_{2} = 1.0000 + \frac{1.0000^{4}-1.0000-3}{4\cdot (1.0000)^{3}-1}\)
\(x_{2} = 0.0000\)
Describe and correct the errors a student made in describing the graph of the function f(x) = -0.5|x+1| +3.
Select all that apply.
A. The entire graph is translated, not just the vertex
B. The student missed the reflection over the x-axis.
C. The student translated to the right instead of the left.
D. The graph should be stretched vertically away from the x-axis.
Answers
The errors a student made in describing the graph of the function f(x) = -0.5|x+1| +3.
The entire graph is translated, not just the vertexThe graph should be stretched vertically away from the x-axis.How do you find the error of a function?The error function is abstract. A special function is erf. It is also known as the standard normal cumulative probability and is frequently used in statistical computations For example. The complementary error function (erfc (x) = 1 erf (x)) is defined as follows.We investigate three alternative erf and erfc evaluation techniques. These algorithms are really thorough. In particular, the selection of the working precision, the study of roundoff errors, and the decision of the sequence of truncation are discussed.(There are several error functions) (mathematics, statistics) a sigmoid function that estimates the likelihood that a measurement will be within a given range of the mean value when errors are normally distributed and have a standard deviation.Learn more about error of a function refer to :
https://brainly.com/question/29427540
#SPJ4
Which term of the sequence 1/4;-1;-21/4;...is equal to -131/2
Answers
11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).
Step-by-step explanation:
the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the
If x= 4, calculate the value of: 3x2 + 4x
Answers
Step by step exploration
3*4*4+4*4=48+16=64
Answer:
64Step-by-step explanation:
x = 4
Substitute x and calculate:
3x² + 4x = 3(4²) + 4(4) = 48 + 16 = 64Suppose MarketOne is a marketing company that has small businesses for clients. MarketOne charges an upfront cost of $350 for new clients and an additional $195 per month to run and maintain the client's website. A linear equation could be used to relate the total cost, in dollars, of MarketOne's services and the number of months that the client's website is running. Which solution is viable for this situation? For full points, write the equation and show your work.
Answers
C = 195m + 350
where the constant term of 350 represents the upfront cost and the coefficient of 195 represents the monthly cost.
To check if this equation is viable for the situation, we can use some reasonable values for the number of months and see if the resulting costs make sense.
For example, if the client's website is running for 6 months, the total cost would be:
C = 195(6) + 350
C = 1,170 + 350
C = 1,520
This means that the client would pay $1,520 in total for 6 months of service from MarketOne.
Similarly, if the client's website is running for 12 months, the total cost would be:
C = 195(12) + 350
C = 2,340 + 350
C = 2,690
This means that the client would pay $2,690 in total for 12 months of service from MarketOne.
Based on these calculations, we can see that the linear equation is viable for the situation. The equation allows us to calculate the total cost of MarketOne's services based on the number of months the client's website is running, which is a useful tool for budgeting and planning.
The monthly rents (in dollars) paid by 9 people are given below.
(Note that these are already ordered from least to greatest.)
mean,median.
780,910,980,1000,1025,1045,1070,1095,1185
Suppose that one of the people moves. His rent changes from 1185 to 100
Answers
Answer:
increases by 30
Step-by-step explanation: its right
e/2 < -1 I need help!!! Ty
Answers
Answer: you cant solve this solution
Step-by-step explanation:
Which side lengths form a right angle?
Choose all answers that apply:
A) 3, square root 27, 6
B) 8, 15, 17
C) 5, 5, square root 50
Answers
Answer:
B and C
Step-by-step explanation:
Using the Pythagorean theorem a²+b²=c², those are the correct answers
QUESTION IN PICTURE
Please explain your answer in steps, thank you.
Answers
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
Learn more about miles-to-yards conversion here:
https://brainly.com/question/1609225
#SPJ1
which of the following values could NOT be a probability
Answers
Answer:
3/2, -1.1
Step-by-step explanation:
the probability cannot be greater than 1. probability is between 0 and 1
if 9+x/6=11 then what’s the value of 1+3x??
Answers
Answer:
Step-by-step explanation:
It's hard to tell what you really intend. I'll do it both ways.
Way One
9 + x/6 = 11 Subtract 9 from both sides.
x/6 = 11 - 9
x/6 = 2 Multiply both sides by 6
x = 2 * 6
x = 12
1 + 3x = 1 + 3*12 = 1 + 36 = 37
Way Two
(9 + x)/6 = 11 Multiply both sides by 6
9 + x = 11 * 6 Simplify the right side
9 + x = 66 Subtract 9
x = 57
1 + 3*57 = 1 + 171 = 172
PLEASE HELP!! I HAVE 30 MINS
#1) 9a+2-6a
#2) -p^6
#3) 5n^2
#4) -10n^4+9-7n^5+n^6
Answers
it is 9a+2-6a is 3a+2
it is -p^6 is -531441
5n^2 is 25n2
-10n^4+9-7n^5n^6 i di not know
7. Ernesto works as a fireman in Green Valley where the SSI tax rate is 6.2% and the Medicare rate
is 1.45%. He made $48,000 for the year 2020. What did he pay for Medicare? *
a)$2976
b) $696
c) $3674.88
d) $6960
Answers
Answer:
Step-by-step explanation:
The answer is b. The Medicare rate is 1.45% which = .0145. Multiply this by 48,000 to get the answer
48000 x .0145 = 696
a rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle?
Please explain, I dont understand
Answers
Answer:
7 inches
Step-by-step explanation:
Now the area of a rectangle equals to length by width or in this scenario, height by base.
Therefore, we take a look at what we already have.
We got 5 inches for height and 35 squared inches as the area.
h= 5 inches a=35squared inches b=?
*Therefore, 5 x b =35
Through substitution this becomes:
*35/5= b
*Therefore b=7 inches
Mrs. Aldridge spilled coffee on her Answer Key and can't see the width of
the rectangle anymore. What would be the width of a rectangle with the
given area (shown in image below)?
x +9
x² + 11x + 18
(My answer is a guess so please show your work if you answer this question!)
thank you:)
Answers
Answer:
x + 2
Step-by-step explanation:
Area = x² + 11x + 18
length = x + 9
width = ?
Area = length x width
Factor the polynomial x² + 11x + 18:
length x width = (x + 9)(x + 2) = x² + 11x + 18
The length is x + 9, therefore the width is x + 2
14x-12=4-42x solve for x
Answers
Answer:
x= 2/7
Step-by-step explanation:
Pls Need this ASAP
When purchasing a home, you need a loan for $80,000. The interest rate of the
loan is 8% and you are required to make monthly payment of $587.
Answers
Answer:
1) 5m
2) 0.25tan
Step-by-step explanation:
It's possible to create a regular tessellation with a regular heptagon.
Answers
Answer:
False, No.
Step-by-step explanation:
No, it is not possible to create a regular tessellation with a regular heptagon. A regular tessellation, also known as a tiling, is a repeating pattern of identical regular polygonal shapes that cover a plane without any gaps or overlaps. The only regular polygonal shapes that can be used to form a regular tessellation are the equilateral triangle, square, and hexagon. These shapes have interior angles that are multiples of 60 degrees, which allows them to fit together seamlessly to form a repeating pattern. The interior angle of a regular heptagon is roughly 128.5714 degrees, which does not divide evenly into 360 degrees, so it cannot be used to form a regular tessellation.
elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).
Answers
which is the graph of f（x）？
Answers
Answer:
Third graph is the correct choice. See below.
Step-by-step explanation:
See the attachment below.
Best Regards!
let's say that is has been established that a 95% confidence interval for the mean number of oranges eaten per week pe person is 0.8 to 2.6. True or false: this means that 95% of all people eat between 0.8 and 2.6 oranges per week
Answers
Answer:
False
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% confidence interval for the mean number of oranges eaten per week per person is 0.8 to 2.6.
This means that we are 95% sure that the true population means for the number of oranges eaten per week per person is 0.8 to 2.6, not that 95% of all people eat between 0.8 and 2.6 oranges per week. So the answer is False.
Select the correct operator for the following exponential expression.
35 ? 46
O A. =
OB. >
C.
Answers
Answer:
The correct operator for the exponential expression 3^5 ? 4^6 is > (greater than), because we can compare the values of the two exponents:
3^5 = 243
4^6 = 4096
Since 4096 is greater than 243, we can write:
3^5 < 4^6
or
4^6 > 3^5
Therefore, the correct operator for the exponential expression 3^5 ? 4^6 is > (greater than).
In a study of how external clues influence performance, psychology professors at the University of Alberta and Pennsylvania State University gave two different forms of a midterm examination to a large group of introductory psychology students. The questions on the exam were identical and in the same order, but one exam was printed on blue paper and the other on red paper ( Teaching Psychology , May 1998). Grading only the difficult questions on the exam, the researchers found that scores on the blue exam had a distribution with a mean of 53% and a standard deviation of 15%, while scores on the red exam had a distribution with a mean of 39% and a standard deviation of 12%. (Assume that both distributions are approximately mound shaped and symmetric.) Give an interpretation of the standard deviation for the students who took the blue exam.
Answers
The standard deviation of 15% for students who took the blue exam indicates the variability or spread of their scores on the exam's difficult questions.
A higher standard deviation indicates that the scores are more evenly distributed and varied, whereas a lower standard deviation indicates that the scores are more closely clustered together.
The standard deviation of 15% in this case indicates that the scores of the students who took the blue exam are relatively spread out, with some students scoring significantly higher and others significantly lower than the mean of 53%.
This indicates that there is a lot of variation in the scores for this group.
To learn more about standard deviation.
https://brainly.com/question/23907081
#SPJ4
Amala is standing on the terrace of a building 85 m high. She threw a stone into a pit which is 32 m deep. Find the distance covered by the stone
Answers
Answer:
117m
Step-by-step explanation:
you add both values because it falls from the building and then through the pit.